79634880 has 224 divisors, whose sum is σ = 302971200. Its totient is φ = 19574784.

The previous prime is 79634869. The next prime is 79634881. The reversal of 79634880 is 8843697.

It is a happy number.

79634880 is a `hidden beast` number, since 7 + 9 + 634 + 8 + 8 + 0 = 666.

It is a super-2 number, since 2×79634880² = 12683428225228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79634881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111966 + ... + 112674.

It is an arithmetic number, because the mean of its divisors is an integer number (1352550).

Almost surely, 2^79634880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79634880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151485600).

79634880 is an abundant number, since it is smaller than the sum of its proper divisors (223336320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

79634880 is a wasteful number, since it uses less digits than its factorization.

79634880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 79634880 is about 8923.8377394482. The cubic root of 79634880 is about 430.2304155399.

The spelling of 79634880 in words is "seventy-nine million, six hundred thirty-four thousand, eight hundred eighty".